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800728020 = 2232519234131
BaseRepresentation
bin101111101110100…
…010001111010100
32001210201012100100
4233232202033110
53114441244040
6211242214100
725562035011
oct5756421724
92053635310
10800728020
11380a988a4
121a41b4330
13c9b79381
14784b8708
154a46cb30
hex2fba23d4

800728020 has 72 divisors (see below), whose sum is σ = 2556721440. Its totient is φ = 202288320.

The previous prime is 800728013. The next prime is 800728031. The reversal of 800728020 is 20827008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113646 + ... + 120485.

It is an arithmetic number, because the mean of its divisors is an integer number (35510020).

Almost surely, 2800728020 is an apocalyptic number.

It is an amenable number.

800728020 is an abundant number, since it is smaller than the sum of its proper divisors (1755993420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800728020 is a wasteful number, since it uses less digits than its factorization.

800728020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234165 (or 234160 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 800728020 is about 28297.1380178279. The cubic root of 800728020 is about 928.5992788040.

The spelling of 800728020 in words is "eight hundred million, seven hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 234131 468262 702393 936524 1170655 1404786 2107179 2341310 2809572 3511965 4214358 4448489 4682620 7023930 8428716 8896978 10535895 13345467 14047860 17793956 21071790 22242445 26690934 40036401 42143580 44484890 53381868 66727335 80072802 88969780 133454670 160145604 200182005 266909340 400364010 800728020